gridripper::math Namespace Reference

Mathematics classes. More...

Namespaces
namespace	expr
	Expression evaluation classes.
Classes
class	IntegratorIncremental1D
	Integration of non-unigird one-argument function with incrementation. More...
class	TrapesoidalIntegratorIncremental1D
class	SimpsonIntegratorIncremental1D
class	Integrator1D
	Integration of non-ungrid one-argument function. More...
class	TrapesoidalIntegrator1D
	Trapesoidal integration of non-unigrid one-argument functions. More...
class	SimpsonIntegrator1D
	Simpson integration of non-unigrid one-argument functions. More...
class	InterpolationUtil
	Interpolation related utility methods. More...
class	MVector
	Vector class. More...
class	Matrix
	Matrix class. More...
class	O5Interpolation
	Fifth order interpolation. More...
class	SpM
	Base class of sparse matrices. More...
class	DiaSpM
	Diagonal sparse matrix format. More...
class	EllSpM
	ELLPACK sparse matrix format. More...
class	CooSpM
	Coordinate sparse matrix format. More...
class	CsrSpM
	Compressed sparse row format. More...
struct	XFArray
	Array of independent and dependent variable values. More...
Functions
GReal_t	LambertW (GReal_t x) throw (IllegalArgumentException&)
	Lambert W function.
GReal_t	smoothH (GReal_t x, GReal_t delta)
	Analytic approximation of the Heaviside step function.
GReal_t	dsmoothH (GReal_t x, GReal_t delta)
	Derivative of smoothH.
GReal_t	d2smoothH (GReal_t x, GReal_t delta)
	Second derivative of smoothH.
int	solve_cubic_eq_real (GReal_t a0, GReal_t a1, GReal_t a2, GReal_t *x)
	Solves the cubic equation a0 + a1*x + a2*x^2 + x^3 = 0.

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Detailed Description

Mathematics classes.

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Function Documentation

GReal_t gridripper::math::d2smoothH	(	GReal_t	x,
		GReal_t	delta
	)

Second derivative of smoothH.

Parameters:

	x	the function argument
	delta	half size of the smooth region

Returns:

the second derivative; zero if abs(x) is greater or equal to delta

GReal_t gridripper::math::dsmoothH	(	GReal_t	x,
		GReal_t	delta
	)

Derivative of smoothH.

Parameters:

	x	the function argument
	delta	half size of the smooth region

Returns:

the derivative; zero if abs(x) is greater or equal to delta

GReal_t gridripper::math::LambertW

(

GReal_t

x

)

throw (IllegalArgumentException&)

Lambert W function.

The inverse of f(w) = w*exp(w).

Parameters:

x

the function argument

Returns:

the value or NaN if x is smaller than -exp(-1)

GReal_t gridripper::math::smoothH	(	GReal_t	x,
		GReal_t	delta
	)

Analytic approximation of the Heaviside step function.

Parameters:

	x	the function argument
	delta	half size of the smooth region

Returns:

the analytic interpolation if abs(x) is less than delta, zero if x is less than -delta, 1 if x is greater than +delta

int gridripper::math::solve_cubic_eq_real	(	GReal_t	a0,
		GReal_t	a1,
		GReal_t	a2,
		GReal_t *	x
	)

Solves the cubic equation a0 + a1*x + a2*x^2 + x^3 = 0.

Parameters:

	a0	the zeroth coefficient
	a1	the first coefficient (x^1)
	a2	the second coefficient (x^2)
	x	output array for the real solution(s)

Returns:

the number of real roots (1 or 3)